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Steve Floyd
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I had the opportunity to do a webinar on +Moz today. You should check it out (and share).
Watch the Moz webinar on Through The Looking Glass: Overcoming Organizational Perspectives from December 31, 1969.
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 IBM is putting billions into Neuromorphic Brain Computing, or rather microchip architecture that closely mimics the way the human brain stores and processes information.
Neuromorphic computing is the use of systems of electronic circuits that essentially mimic neuro-biological architectures present in the nervous system.
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“The music business is a cruel and shallow money trench, a long plastic hallway where thieves and pimps run free, and good men die like dogs. There's also a negative side.” - Hunter S. Thompson
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Interesting.
 
Chaos made simple

This shows a lot of tiny particles moving around.   If you were one of these particles, it would be hard to predict where you'd go.  See why?  It's because each time you approach the crossing, it's hard to tell whether you'll go into the left loop or the right one. 

You can predict which way you'll go: it's not random.  But to predict it, you need to know your position quite accurately.  And each time you go around, it gets worse.  You'd need to know your position extremely accurately to predict which way you go - left or right - after a dozen round trips. 

This effect is called deterministic chaos.  Deterministic chaos happens when something is so sensitive to small changes in conditions that its motion is very hard to predict in practice, even though it's not actually random.

This particular example of deterministic chaos is one of the first and most famous.  It's the Lorenz attractor, invented by Edward Lorenz as a very simplified model of the weather in 1963.

The equations for the Lorentz attractor are not very complicated if you know calculus.  They say how the x, y and z coordinates of a point change with time:

dx/dt = 10(x-y)
dy/dt = x(28-z) - y
dz/dt = xy - 8z/3

You are not supposed to be able to look at these equations and say "Ah yes!  I see why these give chaos!"   Don't worry: if you get nothing out of these equations, it doesn't mean you're "not a math person"  - just as not being able to easily paint the Mona Lisa doesn't mean you're "not an art person".  Lorenz had to solve them using a computer to discover chaos.  I personally have no intuition as to why they work... though I could get such intuition if I spent a week reading about it.

The weird numbers here are adjustable, but these choices are the ones Lorenz originally used.  I don't know what choices David Szakaly used in his animation.  Can you find out?

If you imagine a tiny drop of water flowing around as shown in this picture, each time it goes around it will get stretched in one direction.  It will get squashed in another direction, and be neither squashed nor stretched in a third direction. 

The stretching is what causes the unpredictability: small changes in the initial position will get amplified.  I believe the squashing is what keeps the two loops in this picture quite flat.  Particles moving around these loops are strongly attracted to move along a flat 'conveyor belt'.  That's why it's called the Lorentz attractor.

With the particular equations I wrote down, the drop will get stretched in one direction by a factor of about 2.47... but squashed in another direction by a factor of about 2 million!    At least that's what this physicist at the University of Wisconsin says:

J. C. Sprott, Lyapunov exponent and dimension of the Lorenz attractor
http://sprott.physics.wisc.edu/chaos/lorenzle.htm

He has software for calculating these numbers - or more precisely their logarithms, which are called Lyapunov exponents.  He gets 0.906, 0, and -14.572 for the Lyapunov exponents.

For more nice animations of the Lorentz attractor, see:

http://visualizingmath.tumblr.com/post/121710431091/a-sample-solution-in-the-lorenz-attractor-when

David Szakaly has a blog called dvdp full of astounding images:

http://dvdp.tumblr.com/

and presumably this one of the Lorenz attractor is buried in there somewhere, though I'm feeling too lazy to do an image search and find it.
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Congratulations! You two make a great couple!  All the best...
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Reddit, Mozilla, Tumblr, Imgur, and over 6,000 other websites are protesting NSA surveillance. Join them.
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In his circles
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907 people
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Designer, Developer, Music Enthusiast and Coffee Drinker
Employment
  • AXZM
    Designer, Developer, Social Media Fanatic and Coffee Drinker, present
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Male
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Art is not a thing; it is a way.
Introduction
My name is Steve Floyd. I am the founder and CEO of AXZM a Website Design, Internet Marketing and Web Development Company based in Dallas, TX - Deep Ellum (2940 Commerce St Dallas, TX 75226) that specializes in creating engaging customer experiences for fortune 500 companies and small businesses alike. 
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Lecturer for University of San Franscisco’s Advanced Search Engine Marketing program, Speaker at Top National Digital Marketing Conferences, SEMPO NTX Co-Chair & Founder, Founder of Dallas Content Strategy, Founder of Dallas Magneto Meetup
Education
  • L.I.F.E.
    present
  • Bryan Adams
  • TCJC
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2940 Commerce St, Dallas, Texas 75226
Greg and his crew did a phenomenal job on our commercial renovations and repairs. His home improvement and remodeling prices are affordable compared to most of the people we talked to. He is personable and extremely easy to deal with, I would recommend his services to anyone.
Public - 7 months ago
reviewed 7 months ago
First 30 days was a nightmare. They fail to walk you through even the most basic things, no follow up and they pretty much never answer the phone. Use another POE, not worth the hassle.
Public - 10 months ago
reviewed 10 months ago
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